摘要
本文在完备剩余格上引入了L-偏序集,给出了L-偏序集上L_k-素闭包算子和L_k-素内部算子的概念及其等价刻画,在此基础上推广得出了n重L_k-素闭包算子和n重L_k-素内部算子的概念及其等价刻画。
This paper introduces the concept of L-partially ordered sets on complete residual lattices, and gives the concepts of Lk-prime closure operators and Lk-prime interior operators and characterizations on them. And then, gives the generalization. The concepts of n multiple Lk-prime closure operators and b multiple Lk-prime interior operators and characterization on them are obtained.
作者
徐款款
卢涛
XU Kuan-kuan;LU Tao(School of Mathematical Science,Huaibei Normal,University Huaibei 235000,China)
出处
《模糊系统与数学》
北大核心
2019年第2期19-22,共4页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11571175)
安徽省高校自然科学研究重点项目(KJ2016A635)
关键词
L-偏序集
Lk-素闭包算子
Lk-素内部算子
L-partially Ordered Sets
Lk-prime Closure Operators
Lk-prime Interior Operators